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Finding the Fourth Proportional to 102,002.74, 152,945.25 and 39,600.34

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Solution

The fourth proportional to 102,002.74, 152,945.25 and 39,600.34 is: 59,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.74 : 152,945.25 = 39,600.34 : x
  2. Step 2: Convert to fraction form
    102,002.74/152,945.25 = 39,600.34/x
  3. Step 3: Cross multiply
    102,002.74x = 152,945.25 × 39,600.34
  4. Step 4: Simplify right side
    102,002.74x = 6,056,683,901.39
  5. Step 5: Solve for x
    x = 6,056,683,901.39/102,002.74
  6. Step 6: Final answer
    x = 59,377.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.